Finite Group Databasebeta

← #3270×D73 #33961021

Subgroups — #3270×D73 #33961021

Order 18688.

2742 conjugacy classes of subgroups.

The subgroup lattice has 2008 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#137×D73C211yesmaximal, characteristic, complemented
2C22×Q16×D73C211yesmaximal, characteristic, complemented
3D4×Q8×D73C211yesmaximal, characteristic, complemented
4#548×D73C211yesmaximal, characteristic
5#22621508C211yesmaximal, characteristic, complemented
6#22621507C211yesmaximal, characteristic, complemented
7#22621506C211yesmaximal, characteristic, complemented
8#22621505C211yesmaximal, characteristic, complemented
9#22621504C211yesmaximal, characteristic, complemented
10#22621503C211yesmaximal, characteristic, complemented
11#22621502C211yesmaximal, characteristic, complemented
12#22621501C211yesmaximal, characteristic, complemented
13#22621500C211yesmaximal, characteristic, complemented
14#22621499C211yesmaximal, characteristic, complemented
15#22621498C211yesmaximal, characteristic, complemented
16#22621497C211yesmaximal, characteristic, complemented
17#22621496C211yesmaximal, characteristic, complemented
18#22621495C211yesmaximal, characteristic, complemented
19#22621494C211yesmaximal, characteristic, complemented
20#497×D73C211yesmaximal, characteristic, complemented
21#470×D73C211yesmaximal, characteristic, complemented
22#465×D73C211yesmaximal, characteristic, complemented
23#464×D73C211yesmaximal, characteristic, complemented
24#462×D73C211yesmaximal, characteristic, complemented
25#452×D73C211yesmaximal, characteristic, complemented
26#451×D73C211yesmaximal, characteristic, complemented
27#451×D73C211yesmaximal, characteristic, complemented
28#448×D73C211yesmaximal, characteristic, complemented
29#441×D73C211yesmaximal, characteristic, complemented
30#435×D73C211yesmaximal, characteristic, complemented
31C73×#3270C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C22×Q8×D73C2211yescharacteristic
34C22×Q8×D73C2211yescharacteristic
35C22×Q8×D73C2211yescharacteristic
36C2×#14556624C2211yescharacteristic, complemented
37C2×#14556623C2211yescharacteristic, complemented
38C2×#14556623C2211yescharacteristic, complemented
39C2×#14556622C2211yescharacteristic, complemented
40C2×#14556621C2211yescharacteristic, complemented
41C2×#14556620C2211yescharacteristic, complemented
42C2×#14556620C2211yescharacteristic, complemented
43#137×D73—28no—
44C22×Dic292C2211yescharacteristic, complemented
45C22×#11924018C2211yescharacteristic, complemented
46C22×#11924018C2211yescharacteristic, complemented
47C2×Q16×D73—28no—
48C2×Q16×D73C2211yescharacteristic
49C2×Q16×D73C2211yescharacteristic
50C2×Q16×D73C2211yescharacteristic
51C2×Q16×D73C2211yescharacteristic
52C2×Q16×D73C2211yescharacteristic
53C2×Q16×D73C2211yescharacteristic
54C2×Q16×D73C2211yescharacteristic, complemented
55C2×Q16×D73C2211yescharacteristic, complemented
56C2×Q16×D73C2211yescharacteristic, complemented
57C2×Q16×D73C2211yescharacteristic, complemented
58C2×SD16×D73C2211yescharacteristic
59C2×SD16×D73C2211yescharacteristic
60C2×SD16×D73C2211yescharacteristic
61C2×M16×D73C2211yescharacteristic
62C22×C8×D73C2211yescharacteristic
63Q8×D292C2211yescharacteristic, complemented
64D4×Dic146—21no—
65D4×Dic146C2211yescharacteristic, complemented
66#17989252—21no—
67#17989252C2211yescharacteristic, complemented
68Q8×C22⋊D73C2211yescharacteristic, complemented
69Q8×C22⋊D73C2211yescharacteristic, complemented
70#17989250—21no—
71#17989250—21no—
72#17989250C2211yescharacteristic, complemented
73#17989250C2211yescharacteristic, complemented
74#17989249C2211yescharacteristic
75#17989248C2211yescharacteristic
76#17989247—21no—
77#17989247C2211yescharacteristic
78#17989246—21no—
79#17989246C2211yescharacteristic
80#17989245—21no—
81#17989245C2211yescharacteristic
82#17989244C2211yescharacteristic
83#17989243—21no—
84#17989243C2211yescharacteristic
85C4⋊Q8×D73—21no—
86C4⋊Q8×D73C2211yescharacteristic
87#124×D73—21no—
88#124×D73C2211yescharacteristic
89C22⋊Q8×D73—21no—
90C22⋊Q8×D73—21no—
91C22⋊Q8×D73—21no—
92C22⋊Q8×D73C2211yescharacteristic
93C22⋊Q8×D73C2211yescharacteristic
94C22⋊Q8×D73C2211yescharacteristic
95#121×D73—21no—
96#121×D73C2211yescharacteristic
97C4×Q8×D73C2211yescharacteristic
98C4×Q8×D73C2211yescharacteristic
99C4×D4×D73—21no—
100C4×D4×D73—21no—
101C4×D4×D73C2211yescharacteristic
102#17988982C2211yescharacteristic, complemented
103#17988981C2211yescharacteristic, complemented
104#17988980C2211yescharacteristic, complemented
105#17988980C2211yescharacteristic, complemented
106#17988979C2211yescharacteristic, complemented
107#17988978C2211yescharacteristic, complemented
108#17988978C2211yescharacteristic, complemented
109#17988846C2211yescharacteristic, complemented
110#17988845C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988844C2211yescharacteristic, complemented
113#17988843C2211yescharacteristic, complemented
114#17988843C2211yescharacteristic, complemented
115#17988842C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic, complemented
118#17988817C2211yescharacteristic, complemented
119#17988816C2211yescharacteristic, complemented
120#17988815C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988813C2211yescharacteristic, complemented
123#17988812C2211yescharacteristic, complemented
124#17988811C2211yescharacteristic, complemented
125#17988810C2211yescharacteristic, complemented
126#17988809C2211yescharacteristic, complemented
127#17988808C2211yescharacteristic, complemented
128#17988807C2211yescharacteristic, complemented
129#17988806C2211yescharacteristic, complemented
130#17988798C2211yescharacteristic, complemented
131#17988797C2211yescharacteristic, complemented
132#17988796C2211yescharacteristic, complemented
133#17988796C2211yescharacteristic, complemented
134#17988795C2211yescharacteristic, complemented
135#17988795C2211yescharacteristic, complemented
136#17988794C2211yescharacteristic, complemented
137#17988752C2211yescharacteristic, complemented
138#17988751C2211yescharacteristic, complemented
139#17988750C2211yescharacteristic, complemented
140#17988749C2211yescharacteristic, complemented
141#17988748C2211yescharacteristic, complemented
142#17988747C2211yescharacteristic, complemented
143#17988746C2211yescharacteristic, complemented
144#17988745C2211yescharacteristic, complemented
145#17988745C2211yescharacteristic, complemented
146#17988744C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988744C2211yescharacteristic, complemented
149#17988744C2211yescharacteristic, complemented
150#17988743C2211yescharacteristic, complemented
151#17988743C2211yescharacteristic, complemented
152#17988742C2211yescharacteristic, complemented
153#17988742C2211yescharacteristic, complemented
154#17988741C2211yescharacteristic, complemented
155#17988741C2211yescharacteristic, complemented
156#17988741C2211yescharacteristic, complemented
157#17988741C2211yescharacteristic, complemented
158#17988728C2211yescharacteristic, complemented
159#17988727C2211yescharacteristic, complemented
160#17988727C2211yescharacteristic, complemented
161#17988726C2211yescharacteristic, complemented
162#17988725C2211yescharacteristic, complemented
163#17988724C2211yescharacteristic, complemented
164#17988724C2211yescharacteristic, complemented
165#17988695C2211yescharacteristic, complemented
166#17988694C2211yescharacteristic, complemented
167#17988693C2211yescharacteristic, complemented
168#17988692C2211yescharacteristic, complemented
169#17988692C2211yescharacteristic, complemented
170#17988691C2211yescharacteristic, complemented
171#17988691C2211yescharacteristic, complemented
172#17988661C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic, complemented
175#17988658C2211yescharacteristic, complemented
176#17988657C2211yescharacteristic, complemented
177#17988656C2211yescharacteristic, complemented
178#17988655C2211yescharacteristic, complemented
179#106×D73C2211yescharacteristic
180C4⋊C8×D73C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#103×D73C2211yescharacteristic
183#103×D73C2211yescharacteristic
184#103×D73C2211yescharacteristic
185#103×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187C22⋊C8×D73C2211yescharacteristic
188C22⋊C8×D73C2211yescharacteristic
189#97×D73C2211yescharacteristic
190C2×#137×C73C2211yescharacteristic, complemented
191C22×Q16×C73C2211yescharacteristic, complemented
192D4×Q8×C73C2211yescharacteristic, complemented
193#548×C73C2211yescharacteristic
194#497×C73C2211yescharacteristic, complemented
195#470×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#464×C73C2211yescharacteristic, complemented
198#462×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#451×C73C2211yescharacteristic, complemented
201#451×C73C2211yescharacteristic, complemented
202#448×C73C2211yescharacteristic, complemented
203#441×C73C2211yescharacteristic, complemented
204#435×C73C2211yescharacteristic, complemented
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027C2311yescharacteristic
210#41×D73—24no—
211#41×D73—42no—
212C22×Dic146—21no—
213C22×Dic146—21no—
214C22×Dic146—21no—
215C22×Dic146C2311yescharacteristic
216C22×Dic146C2311yescharacteristic
217C22×Dic146C2311yescharacteristic
218C2×Q8×D73—21no—
219C2×Q8×D73—21no—
220C2×Q8×D73—21no—
221C2×Q8×D73—21no—
222C2×Q8×D73—21no—
223C2×Q8×D73—21no—
224C2×Q8×D73—24no—
225C2×Q8×D73—24no—
226C2×Q8×D73—24no—
227C2×Q8×D73—42no—
228C2×Q8×D73—42no—
229C2×Q8×D73—42no—
230C2×Q8×D73C2311yescharacteristic
231C2×Q8×D73C2311yescharacteristic
232C2×Q8×D73C2311yescharacteristic
233C2×Q8×D73C2311yescharacteristic
234C2×Q8×D73C2311yescharacteristic
235C2×Q8×D73C2311yescharacteristic
236C2×Q8×D73C2311yescharacteristic
237C2×Q8×D73C2311yescharacteristic
238C2×Q8×D73C2311yescharacteristic
239C2×Q8×D73C2311yescharacteristic
240C2×Q8×D73C2311yescharacteristic
241C2×D4×D73—21no—
242C2×D4×D73—21no—
243C2×D4×D73D411yescharacteristic
244C2×D4×D73C2311yescharacteristic
245C22×C4×D73—21no—
246C22×C4×D73—21no—
247C22×C4×D73—21no—
248C22×C4×D73—21no—
249C22×C4×D73C2311yescharacteristic
250C22×C4×D73C2311yescharacteristic
251#14556624—24no—
252#14556623—24no—
253#14556623—24no—
254#14556622—24no—
255#14556621—24no—
256#14556620—24no—
257#14556620—24no—
258C2×Dic292—24no—
259C2×Dic292C2311yescharacteristic
260C2×Dic292C2311yescharacteristic
261C2×Dic292C2311yescharacteristic
262C2×Dic292C2311yescharacteristic
263C2×Dic292C2311yescharacteristic
264C2×Dic292C2311yescharacteristic
265C2×#11924018—24no—
266C2×#11924018—24no—
267C2×#11924018C2311yescharacteristic
268C2×#11924018C2311yescharacteristic
269C2×#11924018C2311yescharacteristic
270C2×#11924018C2311yescharacteristic
271C2×#11924018C2311yescharacteristic
272C2×#11924018C2311yescharacteristic
273C2×#11924018C2311yescharacteristic
274C2×#11924018C2311yescharacteristic
275C2×#11924018C2311yescharacteristic
276C2×#11924018C2311yescharacteristic
277C2×#11924018C2311yescharacteristic
278C2×#11924018C2311yescharacteristic
279Q16×D73—24no—
280Q16×D73—24no—
281Q16×D73—24no—
282Q16×D73—24no—
283Q16×D73—24no—
284Q16×D73—24no—
285Q16×D73—24no—
286Q16×D73—24no—
287Q16×D73—42no—
288Q16×D73D418yescomplemented
289C2×#11924017C2311yescharacteristic
290C2×#11924017C2311yescharacteristic
291C2×#11924017C2311yescharacteristic
292C2×#11924016C2311yescharacteristic
293C2×#11924016C2311yescharacteristic
294C2×#11924016C2311yescharacteristic
295C2×#11924015C2311yescharacteristic
296C2×#11924015C2311yescharacteristic
297C2×#11924015C2311yescharacteristic
298SD16×D73—24no—
299SD16×D73—24no—
300SD16×D73—42no—
301C2×#11924012C2311yescharacteristic
302C2×#11924011C2311yescharacteristic
303C2×#11924011C2311yescharacteristic
304M16×D73—24no—
305C22×#10596831C2311yescharacteristic
306C2×C8×D73—24no—
307C2×C8×D73C2311yescharacteristic
308C2×C8×D73C2311yescharacteristic
309C2×C8×D73C2311yescharacteristic
310C2×C8×D73C2311yescharacteristic
311C2×C8×D73C2311yescharacteristic
312C2×C8×D73C2311yescharacteristic
313#14556591—21no—
314#14556591C2311yescharacteristic
315#14556590—21no—
316#14556590—21no—
317#14556590—21no—
318#14556590—21no—
319#14556590—21no—
320#14556590—21no—
321#14556589—21no—
322#14556589—21no—
323#14556589C2311yescharacteristic
324#14556589C2311yescharacteristic
325#14556580—21no—
326#14556580C2311yescharacteristic
327#14556579—21no—
328#14556579C2311yescharacteristic
329#14556578—21no—
330#14556578C2311yescharacteristic
331#14556577—21no—
332#14556577—21no—
333#14556577—21no—
334#14556577—21no—
335#14556577—21no—
336#14556577—21no—
337#14556571—21no—
338#14556571—21no—
339#14556571—21no—
340#14556571C2311yescharacteristic
341#14556571C2311yescharacteristic
342#14556571C2311yescharacteristic
343#14556570—21no—
344#14556570—21no—
345#14556570—21no—
346#14556570C2311yescharacteristic
347#14556570C2311yescharacteristic
348#14556570C2311yescharacteristic
349#14556569—21no—
350#14556569—21no—
351#14556569—21no—
352#14556569—21no—
353#14556569—21no—
354#14556569—21no—
355#14556569—21no—
356#14556569—21no—
357#14556569—21no—
358#14556568—21no—
359#14556568—21no—
360#14556568—21no—
361#14556568—21no—
362#14556568—21no—
363#14556568—21no—
364#14556568—21no—
365#14556568—21no—
366#14556568—21no—
367#14556567—21no—
368#14556567—21no—
369#14556567—21no—
370#14556567C2311yescharacteristic
371#14556567C2311yescharacteristic
372#14556567C2311yescharacteristic
373#14556566—21no—
374#14556566C2311yescharacteristic
375#14556565—21no—
376#14556565C2311yescharacteristic
377#14556564—21no—
378#14556564—21no—
379#14556564—21no—
380#14556563—21no—
381#14556563—21no—
382#14556563—21no—
383#14556562—21no—
384#14556562C2311yescharacteristic
385Q8×Dic73C2311yescharacteristic
386Q8×Dic73C2311yescharacteristic
387C4×Dic146—21no—
388C4×Dic146—21no—
389C4×Dic146C2311yescharacteristic
390C4×Dic146C2311yescharacteristic
391#14556556—21no—
392#14556556—21no—
393#14556556C2311yescharacteristic
394#14556556C2311yescharacteristic
395C4×D292—21no—
396C4×D292—21no—
397C4×D292C2311yescharacteristic
398D4×Dic73—21no—
399D4×Dic73—21no—
400D4×Dic73D411yescharacteristic
401#14556553—21no—
402#14556553—21no—
403#14556553D411yescharacteristic
404C4×C22⋊D73—21no—
405C4×C22⋊D73—21no—
406C4×C22⋊D73—21no—
407C4×C22⋊D73—21no—
408C4×C22⋊D73C2311yescharacteristic
409C4×C22⋊D73C2311yescharacteristic
410#14556551—21no—
411#14556551—21no—
412#14556551—21no—
413#14556551—21no—
414#14556551D411yescharacteristic
415#14556551D411yescharacteristic
416C4⋊C4×D73—21no—
417C4⋊C4×D73—21no—
418C4⋊C4×D73—21no—
419C4⋊C4×D73—21no—
420C4⋊C4×D73—21no—
421C4⋊C4×D73—21no—
422C4⋊C4×D73—21no—
423C4⋊C4×D73D411yescharacteristic
424C4⋊C4×D73C2311yescharacteristic
425C4⋊C4×D73C2311yescharacteristic
426C22⋊C4×D73—21no—
427C22⋊C4×D73—21no—
428C22⋊C4×D73—21no—
429C22⋊C4×D73—21no—
430C22⋊C4×D73—21no—
431C22⋊C4×D73—21no—
432C22⋊C4×D73D411yescharacteristic
433C22⋊C4×D73D411yescharacteristic
434C42×D73—21no—
435C42×D73—21no—
436C42×D73C2311yescharacteristic
437#14556523C2311yescharacteristic
438#14556522C2311yescharacteristic
439#14556522C2311yescharacteristic
440C4⋊#10596831C2311yescharacteristic
441#14556520C2311yescharacteristic
442#14556520C2311yescharacteristic
443#14556516C2311yescharacteristic
444#14556516C2311yescharacteristic
445#14556516C2311yescharacteristic
446#14556516C2311yescharacteristic
447#14556516C2311yescharacteristic
448#14556515C2311yescharacteristic
449#14556515C2311yescharacteristic
450#14556515C2311yescharacteristic
451#14556515C2311yescharacteristic
452#14556515C2311yescharacteristic
453#14556514C2311yescharacteristic
454#14556514C2311yescharacteristic
455#14556514C2311yescharacteristic
456#14556514C2311yescharacteristic
457#14556514C2311yescharacteristic
458#14556513C2311yescharacteristic
459#14556512C2311yescharacteristic
460#14556511C2311yescharacteristic
461C22⋊#10596831C2311yescharacteristic
462C22⋊#10596831C2311yescharacteristic
463#14556503C2311yescharacteristic
464#14556503C2311yescharacteristic
465#14556503C2311yescharacteristic
466#14556503C2311yescharacteristic
467#14556502C2311yescharacteristic
468#14556501C2311yescharacteristic
469#14556501C2311yescharacteristic
470C2×#41×C73C2311yescharacteristic
471C22×Q8×C73C2311yescharacteristic
472C22×Q8×C73C2311yescharacteristic
473C22×Q8×C73C2311yescharacteristic
474#137×C73—24no—
475C2×Q16×C73—24no—
476C2×Q16×C73C2311yescharacteristic
477C2×Q16×C73C2311yescharacteristic
478C2×Q16×C73C2311yescharacteristic
479C2×Q16×C73C2311yescharacteristic
480C2×Q16×C73C2311yescharacteristic
481C2×Q16×C73C2311yescharacteristic
482C2×SD16×C73C2311yescharacteristic
483C2×SD16×C73C2311yescharacteristic
484C2×SD16×C73C2311yescharacteristic
485C2×M16×C73C2311yescharacteristic
486C22×C8×C73C2311yescharacteristic
487C4⋊Q8×C73—21no—
488C4⋊Q8×C73C2311yescharacteristic
489#124×C73—21no—
490#124×C73C2311yescharacteristic
491C22⋊Q8×C73—21no—
492C22⋊Q8×C73—21no—
493C22⋊Q8×C73—21no—
494C22⋊Q8×C73C2311yescharacteristic
495C22⋊Q8×C73C2311yescharacteristic
496C22⋊Q8×C73C2311yescharacteristic
497#121×C73—21no—
498#121×C73C2311yescharacteristic
499C4×Q8×C73C2311yescharacteristic
500C4×Q8×C73C2311yescharacteristic
501C4×D4×C73—21no—
502C4×D4×C73—21no—
503C4×D4×C73C2311yescharacteristic
504#106×C73C2311yescharacteristic
505C4⋊C8×C73C2311yescharacteristic
506#103×C73C2311yescharacteristic
507#103×C73C2311yescharacteristic
508#103×C73C2311yescharacteristic
509#103×C73C2311yescharacteristic
510#103×C73C2311yescharacteristic
511#102×C73C2311yescharacteristic
512C22⋊C8×C73C2311yescharacteristic
513C22⋊C8×C73C2311yescharacteristic
514#97×C73C2311yescharacteristic
515C23×D73—21no—
516C23×D73C2×D411yescharacteristic
517C23×D73C2×D411yescharacteristic
518#11924029—22no—
519#11924029—41no—
520#11924028—22no—
521#11924028—44no—
522#11924028—41no—
523#11924027—22no—
524#11924027—41no—
525#11924027—44no—
526C2×Dic146—21no—
527C2×Dic146—21no—
528C2×Dic146—22no—
529C2×Dic146—22no—
530C2×Dic146—22no—
531C2×Dic146—21no—
532C2×Dic146—21no—
533C2×Dic146—21no—
534C2×Dic146—21no—
535C2×Dic146—21no—
536C2×Dic146—21no—
537C2×Dic146—21no—
538C2×Dic146—21no—
539C2×Dic146—21no—
540C2×Dic146—21no—
541C2×Dic146—21no—
542C2×Dic146—21no—
543C2×Dic146—41no—
544C2×Dic146—41no—
545C2×Dic146—41no—
546C2×Dic146—44no—
547C2×Dic146—44no—
548C2×Dic146—44no—
549C2×Dic146C2411yescharacteristic
550C2×Dic146C2411yescharacteristic
551C2×Dic146C2411yescharacteristic
552C2×Dic146C2411yescharacteristic
553C2×Dic146C2411yescharacteristic
554Q8×D73—22no—
555Q8×D73—22no—
556Q8×D73—22no—
557Q8×D73—22no—
558Q8×D73—22no—
559Q8×D73—22no—
560Q8×D73—22no—
561Q8×D73—22no—
562Q8×D73—22no—
563Q8×D73—22no—
564Q8×D73—22no—
565Q8×D73—22no—
566Q8×D73—22no—
567Q8×D73—22no—
568Q8×D73—41no—
569Q8×D73—41no—
570Q8×D73—41no—
571Q8×D73—41no—
572Q8×D73—41no—
573Q8×D73—41no—
574Q8×D73—44no—
575Q8×D73—44no—
576Q8×D73—44no—
577Q8×D73—44no—
578Q8×D73—44no—
579Q8×D73—44no—
580Q8×D73C2×D414yes—
581Q8×D73C2×D414yes—
582C2×D292—21no—
583C2×D292—21no—
584C2×D292C2×D411yescharacteristic
585C2×D292C2411yescharacteristic
586C2×C22⋊D73—21no—
587C2×C22⋊D73—21no—
588C2×C22⋊D73—21no—
589C2×C22⋊D73—21no—
590C2×C22⋊D73—21no—
591C2×C22⋊D73C2×D411yescharacteristic
592C2×C22⋊D73C2×D411yescharacteristic
593D4×D73—24no—
594D4×D73—22no—
595D4×D73—22no—
596D4×D73—44no—
597D4×D73—44no—
598C22×Dic73—21no—
599C22×Dic73—21no—
600C22×Dic73—21no—
601C22×Dic73—21no—
602C22×Dic73C2×D411yescharacteristic
603C22×Dic73C2×D411yescharacteristic
604C2×C4×D73—21no—
605C2×C4×D73—21no—
606C2×C4×D73—22no—
607C2×C4×D73—22no—
608C2×C4×D73—22no—
609C2×C4×D73—22no—
610C2×C4×D73—21no—
611C2×C4×D73—21no—
612C2×C4×D73—21no—
613C2×C4×D73—21no—
614C2×C4×D73—21no—
615C2×C4×D73—21no—
616C2×C4×D73—21no—
617C2×C4×D73—21no—
618C2×C4×D73—21no—
619C2×C4×D73—21no—
620C2×C4×D73—21no—
621C2×C4×D73—21no—
622C2×C4×D73—21no—
623C2×C4×D73—44no—
624C2×C4×D73—44no—
625C2×C4×D73—44no—
626C2×C4×D73—44no—
627C2×C4×D73C2×D411yescharacteristic
628C2×C4×D73C2×D411yescharacteristic
629C2×C4×D73C2×D411yescharacteristic
630C2×C4×D73C2×D411yescharacteristic
631C2×C4×D73C2×D411yescharacteristic
632C2×C4×D73C2×D411yescharacteristic
633C2×C4×D73C2411yescharacteristic
634C2×C4×D73C2411yescharacteristic
635C2×C4×D73C2411yescharacteristic
636Dic292—22no—
637Dic292—22no—
638Dic292—22no—
639Dic292—22no—
640Dic292—41no—
641Dic292C2×D414yescomplemented
642#11924018—22no—
643#11924018—22no—
644#11924018—22no—
645#11924018—22no—
646#11924018—22no—
647#11924018—22no—
648#11924018—22no—
649#11924018—22no—
650#11924018—41no—
651#11924018—41no—
652#11924018C2×D414yescomplemented
653#11924018C2×D414yescomplemented
654#11924017—22no—
655#11924017—22no—
656#11924017—41no—
657#11924016—22no—
658#11924016—22no—
659#11924016—41no—
660#11924015—22no—
661#11924015—22no—
662#11924015—41no—
663#11924012—22no—
664#11924011—22no—
665#11924011—22no—
666C2×#10596831—22no—
667C2×#10596831C2411yescharacteristic
668C2×#10596831C2411yescharacteristic
669C2×#10596831C2411yescharacteristic
670C2×#10596831C2411yescharacteristic
671C8×D73—22no—
672C8×D73—22no—
673C8×D73—22no—
674C8×D73—22no—
675C8×D73—22no—
676C8×D73C2×D414yes—
677C4⋊Dic73—21no—
678C4⋊Dic73—21no—
679C4⋊Dic73—21no—
680C4⋊Dic73—21no—
681C4⋊Dic73—21no—
682C4⋊Dic73—21no—
683C4⋊Dic73—21no—
684C4⋊Dic73C2×D411yescharacteristic
685C4⋊Dic73C2411yescharacteristic
686C4⋊Dic73C2411yescharacteristic
687#11924007—21no—
688#11924007—21no—
689#11924007—21no—
690#11924007—21no—
691#11924007—21no—
692#11924007—21no—
693#11924007—21no—
694#11924007—21no—
695#11924007—21no—
696#11924007—21no—
697#11924007—21no—
698#11924007—21no—
699#11924007—21no—
700#11924007—21no—
701#11924007—21no—
702#11924007—21no—
703#11924007C2×D411yescharacteristic
704#11924007C2×D411yescharacteristic
705C22⋊Dic73—21no—
706C22⋊Dic73—21no—
707C22⋊Dic73—21no—
708C22⋊Dic73—21no—
709C22⋊Dic73—21no—
710C22⋊Dic73—21no—
711C22⋊Dic73C2×D411yescharacteristic
712C22⋊Dic73C2×D411yescharacteristic
713#11924005—21no—
714#11924005—21no—
715#11924005—21no—
716#11924005—21no—
717#11924005—21no—
718#11924005—21no—
719#11924005—21no—
720#11924005—21no—
721#11924005—21no—
722#11924005—21no—
723#11924005—21no—
724#11924005—21no—
725#11924005C2×D411yescharacteristic
726#11924005C2×D411yescharacteristic
727#11924005C2×D411yescharacteristic
728#11924005C2×D411yescharacteristic
729C4×Dic73—21no—
730C4×Dic73—21no—
731C4×Dic73—21no—
732C4×Dic73—21no—
733C4×Dic73—21no—
734C4×Dic73—21no—
735C4×Dic73C2×D411yescharacteristic
736C4×Dic73C2×D411yescharacteristic
737C4×Dic73C2411yescharacteristic
738#41×C73—22no—
739#41×C73—41no—
740C2×Q8×C73—21no—
741C2×Q8×C73—21no—
742C2×Q8×C73—21no—
743C2×Q8×C73—22no—
744C2×Q8×C73—22no—
745C2×Q8×C73—22no—
746C2×Q8×C73—41no—
747C2×Q8×C73—41no—
748C2×Q8×C73—41no—
749C2×Q8×C73C2411yescharacteristic
750C2×Q8×C73C2411yescharacteristic
751C2×Q8×C73C2411yescharacteristic
752C2×Q8×C73C2411yescharacteristic
753C2×Q8×C73C2411yescharacteristic
754C2×D4×C73—21no—
755C2×D4×C73—21no—
756C2×D4×C73C2×D411yescharacteristic
757C2×D4×C73C2411yescharacteristic
758C22×C4×C73—21no—
759C22×C4×C73—21no—
760C22×C4×C73—21no—
761C22×C4×C73—21no—
762C22×C4×C73C2411yescharacteristic
763C22×C4×C73C2411yescharacteristic
764Q16×C73—22no—
765Q16×C73—22no—
766Q16×C73—22no—
767Q16×C73—22no—
768Q16×C73—41no—
769Q16×C73C2×D414yescomplemented
770SD16×C73—22no—
771SD16×C73—22no—
772SD16×C73—41no—
773M16×C73—22no—
774C2×C8×C73—22no—
775C2×C8×C73C2411yescharacteristic
776C2×C8×C73C2411yescharacteristic
777C2×C8×C73C2411yescharacteristic
778C2×C8×C73C2411yescharacteristic
779C4⋊C4×C73—21no—
780C4⋊C4×C73—21no—
781C4⋊C4×C73—21no—
782C4⋊C4×C73—21no—
783C4⋊C4×C73—21no—
784C4⋊C4×C73—21no—
785C4⋊C4×C73—21no—
786C4⋊C4×C73C2×D411yescharacteristic
787C4⋊C4×C73C2411yescharacteristic
788C4⋊C4×C73C2411yescharacteristic
789C22⋊C4×C73—21no—
790C22⋊C4×C73—21no—
791C22⋊C4×C73—21no—
792C22⋊C4×C73—21no—
793C22⋊C4×C73—21no—
794C22⋊C4×C73—21no—
795C22⋊C4×C73C2×D411yescharacteristic
796C22⋊C4×C73C2×D411yescharacteristic
797C42×C73—21no—
798C42×C73—21no—
799C42×C73C2411yescharacteristic
800C23×C73—21no—
801C23×C73C22×D411yescharacteristic
802C23×C73C22×D411yescharacteristic
803C22×D73—22no—
804C22×D73—22no—
805C22×D73—22no—
806C22×D73—22no—
807C22×D73—22no—
808C22×D73—21no—
809C22×D73—42no—
810C22×D73—42no—
811C22×D73—42no—
812C22×D73#13714yescomplemented
813C22×D73C22×D411yescharacteristic
814C22×D73C22×D411yescharacteristic
815C22×D73C22×D411yescharacteristic
816Q8×C73—21no—
817Q8×C73—21no—
818Q8×C73—21no—
819Q8×C73—21no—
820Q8×C73—21no—
821Q8×C73—21no—
822Q8×C73—21no—
823Q8×C73—21no—
824Q8×C73—42no—
825Q8×C73—42no—
826Q8×C73—42no—
827Q8×C73C22×D412yes—
828Q8×C73C22×D412yes—
829D4×C73—22no—
830D4×C73—21no—
831D4×C73—21no—
832D4×C73—42no—
833D4×C73—42no—
834C2×C4×C73—21no—
835C2×C4×C73—21no—
836C2×C4×C73—21no—
837C2×C4×C73—21no—
838C2×C4×C73—21no—
839C2×C4×C73—21no—
840C2×C4×C73—21no—
841C2×C4×C73—21no—
842C2×C4×C73—21no—
843C2×C4×C73—21no—
844C2×C4×C73—21no—
845C2×C4×C73—42no—
846C2×C4×C73—42no—
847C2×C4×C73—42no—
848C2×C4×C73—42no—
849C2×C4×C73C22×D411yescharacteristic
850C2×C4×C73C22×D411yescharacteristic
851C2×C4×C73C22×D411yescharacteristic
852C2×C4×C73C22×D411yescharacteristic
853C2×C4×C73C2511yescharacteristic
854C22⋊D73—22no—
855C22⋊D73—22no—
856C22⋊D73—42no—
857C22⋊D73—42no—
858C22⋊D73—42no—
859C22⋊D73—42no—
860C22⋊D73—42no—
861C2×Dic73—21no—
862C2×Dic73—21no—
863C2×Dic73—22no—
864C2×Dic73—22no—
865C2×Dic73—21no—
866C2×Dic73—21no—
867C2×Dic73—21no—
868C2×Dic73—21no—
869C2×Dic73—21no—
870C2×Dic73—42no—
871C2×Dic73—42no—
872C2×Dic73—42no—
873C2×Dic73—42no—
874C2×Dic73C22×D411yescharacteristic
875C2×Dic73C22×D411yescharacteristic
876C2×Dic73C22×D411yescharacteristic
877C2×Dic73C22×D411yescharacteristic
878C2×Dic73C22×D411yescharacteristic
879D292—22no—
880D292—21no—
881D292—21no—
882D292—42no—
883D292—42no—
884C4×D73—22no—
885C4×D73—22no—
886C4×D73—24no—
887C4×D73—24no—
888C4×D73—22no—
889C4×D73—22no—
890C4×D73—21no—
891C4×D73—21no—
892C4×D73—21no—
893C4×D73—21no—
894C4×D73—22no—
895C4×D73—22no—
896C4×D73—42no—
897C4×D73—42no—
898C4×D73—42no—
899C4×D73—42no—
900C4×D73—42no—
901C4×D73—42no—
902C4×D73—42no—
903C4×D73—42no—
904C4×D73—42no—
905C4×D73—42no—
906C4×D73—42no—
907C4×D73—42no—
908C4×D73—42no—
909C4×D73C22×D412yes—
910C4×D73H(5,𝔽2)12yes—
911Dic146—21no—
912Dic146—21no—
913Dic146—24no—
914Dic146—24no—
915Dic146—21no—
916Dic146—21no—
917Dic146—21no—
918Dic146—21no—
919Dic146—21no—
920Dic146—21no—
921Dic146—42no—
922Dic146—42no—
923Dic146—42no—
924Dic146—42no—
925Dic146—42no—
926Dic146—42no—
927Dic146—42no—
928Dic146—42no—
929Dic146—42no—
930Dic146—42no—
931Dic146—42no—
932Dic146—42no—
933Dic146C22×D412yes—
934Dic146C22×D412yes—
935C8×C73—21no—
936C8×C73—21no—
937C8×C73—21no—
938C8×C73C22×D412yes—
939#10596831—21no—
940#10596831—21no—
941#10596831—21no—
942#10596831C22×D412yes—
943C22×C73—21no—
944C22×C73—21no—
945C22×C73—21no—
946C22×C73—21no—
947C22×C73—21no—
948C22×C73—41no—
949C22×C73—41no—
950C22×C73—41no—
951C22×C73C2×#13712yescomplemented
952C22×C73C23×D411yescharacteristic
953C2×D73—21no—
954C2×D73—21no—
955C2×D73—28no—
956C2×D73—21no—
957C2×D73—21no—
958C2×D73—21no—
959C2×D73—44no—
960C2×D73—41no—
961C2×D73—41no—
962C2×D73—41no—
963C2×D73—84no—
964C2×D73D4212yes—
965C2×D73C2×#13712yes—
966C2×D73C2×#13712yescomplemented
967C2×D73#57812yes—
968C4×C73—22no—
969C4×C73—22no—
970C4×C73—21no—
971C4×C73—21no—
972C4×C73—21no—
973C4×C73—21no—
974C4×C73—41no—
975C4×C73—41no—
976C4×C73—41no—
977C4×C73—41no—
978C4×C73—41no—
979C4×C73C23×D411yescharacteristic
980C4×C73C2×H(5,𝔽2)11yescharacteristic
981Dic73—22no—
982Dic73—22no—
983Dic73—21no—
984Dic73—21no—
985Dic73—21no—
986Dic73—21no—
987Dic73—41no—
988Dic73—41no—
989Dic73—41no—
990Dic73—41no—
991Dic73—41no—
992Dic73D4212yes—
993C2×#3270—731nomaximal, Sylow
994C2×C73—22no—
995C2×C73—41no—
996C2×C73—81no—
997C2×C73C2×D4211yescharacteristic
998C2×C73C22×#13711yescharacteristic
999C2×C73C2×#57811yescharacteristic
1000D73—22no—
1001D73—41no—
1002D73—81no—
1003D73#327014yesdirect product factor
1004C22×#137—731no—
1005C23×Q16—731no—
1006C2×D4×Q8—731no—
1007C2×#548—731no—
1008#3270—731no—
1009#3270—731no—
1010#3270—731no—
1011#3270—731no—
1012#3270—731no—
1013#3270—731no—
1014#3270—731no—
1015#3270—731no—
1016#3270—731no—
1017#3270—731no—
1018#3270—731no—
1019#3270—731no—
1020#3270—731no—
1021#3270—731no—
1022#3270—731no—
1023#3270D7311yescharacteristic, direct product factor
1024C2×#497—731no—
1025C2×#470—731no—
1026C2×#465—731no—
1027C2×#464—731no—
1028C2×#462—731no—
1029C2×#452—731no—
1030C2×#451—731no—
1031C2×#451—731no—
1032C2×#448—731no—
1033C2×#441—731no—
1034C2×#435—731no—
1035C73C2×#327011yescharacteristic, complemented, Sylow
1036C22×#41—731no—
1037C23×Q8—731no—
1038C23×Q8—731no—
1039C23×Q8—731no—
1040C2×#137—731no—
1041C2×#137—731no—
1042C2×#137—731no—
1043C2×#137—731no—
1044C2×#137—731no—
1045C2×#137—731no—
1046C2×#137—731no—
1047C2×#137—1468no—
1048C2×#137C2×D7311yescharacteristic, complemented
1049C22×Q16—731no—
1050C22×Q16—731no—
1051C22×Q16—731no—
1052C22×Q16—731no—
1053C22×Q16—731no—
1054C22×Q16—731no—
1055C22×Q16—731no—
1056C22×Q16—731no—
1057C22×Q16—731no—
1058C22×Q16—731no—
1059C22×Q16—731no—
1060C22×Q16—731no—
1061C22×Q16—731no—
1062C22×Q16—1468no—
1063C22×Q16C2×D7311yescharacteristic, complemented
1064C22×SD16—731no—
1065C22×SD16—731no—
1066C22×SD16—731no—
1067C22×M16—731no—
1068C23×C8—731no—
1069D4×Q8—731no—
1070D4×Q8—731no—
1071D4×Q8—731no—
1072D4×Q8—731no—
1073D4×Q8—731no—
1074D4×Q8—731no—
1075D4×Q8—731no—
1076D4×Q8—1461no—
1077D4×Q8—1461no—
1078D4×Q8—1461no—
1079D4×Q8—1461no—
1080D4×Q8C2×D7311yescharacteristic, complemented
1081#548—731no—
1082#548—731no—
1083#548—731no—
1084#548—731no—
1085#548—731no—
1086#548—731no—
1087#548—731no—
1088#548—1461no—
1089#548—1461no—
1090#548—1461no—
1091#548—1461no—
1092#548C2×D7311yescharacteristic
1093C2×C4⋊Q8—731no—
1094C2×C4⋊Q8—1461no—
1095C2×#124—731no—
1096C2×#124—1461no—
1097C2×C22⋊Q8—731no—
1098C2×C22⋊Q8—731no—
1099C2×C22⋊Q8—731no—
1100C2×C22⋊Q8—1461no—
1101C2×C22⋊Q8—1461no—
1102C2×C22⋊Q8—1461no—
1103C2×#121—731no—
1104C2×#121—1461no—
1105C2×C4×Q8—731no—
1106C2×C4×Q8—731no—
1107C2×C4×D4—731no—
1108C2×C4×D4—1461no—
1109C2×C4×D4—1461no—
1110#497—731no—
1111#497—731no—
1112#497—731no—
1113#497—731no—
1114#497—731no—
1115#497—731no—
1116#497—731no—
1117#497C2×D7311yescharacteristic, complemented
1118#470—731no—
1119#470—731no—
1120#470—731no—
1121#470—731no—
1122#470—731no—
1123#470—731no—
1124#470—731no—
1125#470C2×D7311yescharacteristic, complemented
1126#465—731no—
1127#465—731no—
1128#465—731no—
1129#465—731no—
1130#465—731no—
1131#465—731no—
1132#465—731no—
1133#465C2×D7311yescharacteristic, complemented
1134#464—731no—
1135#464—731no—
1136#464—731no—
1137#464—731no—
1138#464—731no—
1139#464—731no—
1140#464—731no—
1141#464C2×D7311yescharacteristic, complemented
1142#462—731no—
1143#462—731no—
1144#462—731no—
1145#462—731no—
1146#462—731no—
1147#462—731no—
1148#462—731no—
1149#462C2×D7311yescharacteristic, complemented
1150#452—731no—
1151#452—731no—
1152#452—731no—
1153#452—731no—
1154#452—731no—
1155#452—731no—
1156#452—731no—
1157#452C2×D7311yescharacteristic, complemented
1158#451—731no—
1159#451—731no—
1160#451—731no—
1161#451—731no—
1162#451—731no—
1163#451—731no—
1164#451—731no—
1165#451—731no—
1166#451—731no—
1167#451—731no—
1168#451—731no—
1169#451—731no—
1170#451—731no—
1171#451—731no—
1172#451C2×D7311yescharacteristic, complemented
1173#451C2×D7311yescharacteristic, complemented
1174#448—731no—
1175#448—731no—
1176#448—731no—
1177#448—731no—
1178#448—731no—
1179#448—731no—
1180#448—731no—
1181#448C2×D7311yescharacteristic, complemented
1182#441—731no—
1183#441—731no—
1184#441—731no—
1185#441—731no—
1186#441—731no—
1187#441—731no—
1188#441—731no—
1189#441C2×D7311yescharacteristic, complemented
1190#435—731no—
1191#435—731no—
1192#435—731no—
1193#435—731no—
1194#435—731no—
1195#435—731no—
1196#435—731no—
1197#435C2×D7311yescharacteristic, complemented
1198C2×#106—731no—
1199C2×C4⋊C8—731no—
1200C2×#103—731no—
1201C2×#103—731no—
1202C2×#103—731no—
1203C2×#103—731no—
1204C2×#103—731no—
1205C2×#102—731no—
1206C2×C22⋊C8—731no—
1207C2×C22⋊C8—731no—
1208C2×#97—731no—
1209C2×#41—2922no—
1210C2×#41—731no—
1211C2×#41—731no—
1212C2×#41—731no—
1213C2×#41—1461no—
1214C2×#41—1464no—
1215C2×#41—1461no—
1216C2×#41C22×D7311yescharacteristic
1217C22×Q8—2922no—
1218C22×Q8—2922no—
1219C22×Q8—2922no—
1220C22×Q8—731no—
1221C22×Q8—731no—
1222C22×Q8—731no—
1223C22×Q8—731no—
1224C22×Q8—731no—
1225C22×Q8—731no—
1226C22×Q8—731no—
1227C22×Q8—731no—
1228C22×Q8—731no—
1229C22×Q8—731no—
1230C22×Q8—731no—
1231C22×Q8—731no—
1232C22×Q8—731no—
1233C22×Q8—731no—
1234C22×Q8—1461no—
1235C22×Q8—1461no—
1236C22×Q8—1461no—
1237C22×Q8—1464no—
1238C22×Q8—1464no—
1239C22×Q8—1464no—
1240C22×Q8—1461no—
1241C22×Q8—1461no—
1242C22×Q8—1461no—
1243C22×Q8—1461no—
1244C22×Q8—1461no—
1245C22×Q8—1461no—
1246C22×Q8C22×D7311yescharacteristic
1247C22×Q8C22×D7311yescharacteristic
1248C22×Q8C22×D7311yescharacteristic
1249C22×D4—731no—
1250C22×D4—731no—
1251C22×D4—1461no—
1252C22×D4—1461no—
1253C23×C4—731no—
1254C23×C4—731no—
1255C23×C4—1461no—
1256C23×C4—1461no—
1257C23×C4—1461no—
1258C23×C4—1461no—
1259#137—24no—
1260#137—1464no—
1261#137—1464no—
1262#137—1464no—
1263#137—1464no—
1264#137—1464no—
1265#137—1464no—
1266#137—1464no—
1267C2×Q16—24no—
1268C2×Q16—2922no—
1269C2×Q16—731no—
1270C2×Q16—731no—
1271C2×Q16—731no—
1272C2×Q16—731no—
1273C2×Q16—738no—
1274C2×Q16—731no—
1275C2×Q16—731no—
1276C2×Q16—731no—
1277C2×Q16—731no—
1278C2×Q16—731no—
1279C2×Q16—731no—
1280C2×Q16—731no—
1281C2×Q16—731no—
1282C2×Q16—731no—
1283C2×Q16—731no—
1284C2×Q16—731no—
1285C2×Q16—731no—
1286C2×Q16—731no—
1287C2×Q16—731no—
1288C2×Q16—1464no—
1289C2×Q16—1464no—
1290C2×Q16—1464no—
1291C2×Q16—1464no—
1292C2×Q16—1464no—
1293C2×Q16—1464no—
1294C2×Q16—1464no—
1295C2×Q16—1464no—
1296C2×Q16—1464no—
1297C2×Q16—1464no—
1298C2×Q16—1464no—
1299C2×Q16C22×D7311yescharacteristic
1300C2×Q16C22×D7311yescharacteristic
1301C2×Q16C22×D7311yescharacteristic
1302C2×Q16C22×D7311yescharacteristic
1303C2×Q16C22×D7311yescharacteristic
1304C2×Q16C22×D7311yescharacteristic
1305C2×SD16—2922no—
1306C2×SD16—731no—
1307C2×SD16—731no—
1308C2×SD16—731no—
1309C2×SD16—731no—
1310C2×SD16—731no—
1311C2×SD16—731no—
1312C2×SD16—731no—
1313C2×SD16—731no—
1314C2×SD16—731no—
1315C2×SD16—1464no—
1316C2×SD16—1464no—
1317C2×SD16C22×D7311yescharacteristic
1318C2×SD16C22×D7311yescharacteristic
1319C2×SD16C22×D7311yescharacteristic
1320C2×M16—731no—
1321C2×M16—731no—
1322C2×M16—731no—
1323C2×M16—1464no—
1324C2×M16C22×D7311yescharacteristic
1325C22×C8—731no—
1326C22×C8—731no—
1327C22×C8—731no—
1328C22×C8—731no—
1329C22×C8—731no—
1330C22×C8—731no—
1331C22×C8—731no—
1332C22×C8—1464no—
1333C22×C8C22×D7311yescharacteristic
1334C4⋊Q8—21no—
1335C4⋊Q8—731no—
1336C4⋊Q8—731no—
1337C4⋊Q8—731no—
1338C4⋊Q8—1461no—
1339C4⋊Q8—1461no—
1340C4⋊Q8—1461no—
1341C4⋊Q8—1461no—
1342C4⋊Q8—1461no—
1343C4⋊Q8—1461no—
1344C4⋊Q8—1461no—
1345C4⋊Q8—1461no—
1346C4⋊Q8—1461no—
1347C4⋊Q8C22×D7311yescharacteristic
1348#124—21no—
1349#124—731no—
1350#124—731no—
1351#124—731no—
1352#124—1461no—
1353#124—1461no—
1354#124—1461no—
1355#124—1461no—
1356#124—1461no—
1357#124—1461no—
1358#124—1461no—
1359#124—1461no—
1360#124—1461no—
1361#124C22×D7311yescharacteristic
1362C22⋊Q8—21no—
1363C22⋊Q8—21no—
1364C22⋊Q8—21no—
1365C22⋊Q8—731no—
1366C22⋊Q8—731no—
1367C22⋊Q8—731no—
1368C22⋊Q8—731no—
1369C22⋊Q8—731no—
1370C22⋊Q8—731no—
1371C22⋊Q8—731no—
1372C22⋊Q8—731no—
1373C22⋊Q8—731no—
1374C22⋊Q8—1461no—
1375C22⋊Q8—1461no—
1376C22⋊Q8—1461no—
1377C22⋊Q8—1461no—
1378C22⋊Q8—1461no—
1379C22⋊Q8—1461no—
1380C22⋊Q8—1461no—
1381C22⋊Q8—1461no—
1382C22⋊Q8—1461no—
1383C22⋊Q8—1461no—
1384C22⋊Q8—1461no—
1385C22⋊Q8—1461no—
1386C22⋊Q8—1461no—
1387C22⋊Q8—1461no—
1388C22⋊Q8—1461no—
1389C22⋊Q8—1461no—
1390C22⋊Q8—1461no—
1391C22⋊Q8—1461no—
1392C22⋊Q8—1461no—
1393C22⋊Q8—1461no—
1394C22⋊Q8—1461no—
1395C22⋊Q8—1461no—
1396C22⋊Q8—1461no—
1397C22⋊Q8—1461no—
1398C22⋊Q8—1461no—
1399C22⋊Q8—1461no—
1400C22⋊Q8—1461no—
1401C22⋊Q8C22×D7311yescharacteristic
1402C22⋊Q8C22×D7311yescharacteristic
1403C22⋊Q8C22×D7311yescharacteristic
1404#121—21no—
1405#121—731no—
1406#121—731no—
1407#121—731no—
1408#121—1461no—
1409#121—1461no—
1410#121—1461no—
1411#121—1461no—
1412#121—1461no—
1413#121—1461no—
1414#121—1461no—
1415#121—1461no—
1416#121—1461no—
1417#121C22×D7311yescharacteristic
1418C4×Q8—731no—
1419C4×Q8—731no—
1420C4×Q8—731no—
1421C4×Q8—731no—
1422C4×Q8—731no—
1423C4×Q8—731no—
1424C4×Q8—1461no—
1425C4×Q8—1461no—
1426C4×Q8—1461no—
1427C4×Q8—1461no—
1428C4×Q8C22×D7311yescharacteristic
1429C4×Q8C22×D7311yescharacteristic
1430C4×D4—21no—
1431C4×D4—21no—
1432C4×D4—731no—
1433C4×D4—731no—
1434C4×D4—731no—
1435C4×D4—731no—
1436C4×D4—731no—
1437C4×D4—731no—
1438C4×D4—731no—
1439C4×D4—1461no—
1440C4×D4—1461no—
1441C4×D4—1461no—
1442C4×D4—1461no—
1443C4×D4—1461no—
1444C4×D4—1461no—
1445C4×D4—1461no—
1446C4×D4—1461no—
1447C4×D4—1461no—
1448C4×D4—1461no—
1449C4×D4—1461no—
1450C4×D4—1461no—
1451C4×D4—1461no—
1452C4×D4—1461no—
1453C4×D4C22×D7311yescharacteristic
1454C2×C4⋊C4—731no—
1455C2×C4⋊C4—731no—
1456C2×C4⋊C4—731no—
1457C2×C4⋊C4—1461no—
1458C2×C4⋊C4—1461no—
1459C2×C4⋊C4—1461no—
1460C2×C4⋊C4—1461no—
1461C2×C4⋊C4—1461no—
1462C2×C4⋊C4—1461no—
1463C2×C4⋊C4—1461no—
1464C2×C22⋊C4—731no—
1465C2×C22⋊C4—731no—
1466C2×C22⋊C4—1461no—
1467C2×C22⋊C4—1461no—
1468C2×C22⋊C4—1461no—
1469C2×C22⋊C4—1461no—
1470C2×C22⋊C4—1461no—
1471C2×C22⋊C4—1461no—
1472C2×C42—731no—
1473C2×C42—1461no—
1474C2×C42—1461no—
1475#106—731no—
1476#106—731no—
1477#106—731no—
1478#106C22×D7311yescharacteristic
1479C4⋊C8—731no—
1480C4⋊C8—731no—
1481C4⋊C8—731no—
1482C4⋊C8C22×D7311yescharacteristic
1483#103—731no—
1484#103—731no—
1485#103—731no—
1486#103—731no—
1487#103—731no—
1488#103—731no—
1489#103—731no—
1490#103—731no—
1491#103—731no—
1492#103—731no—
1493#103—731no—
1494#103—731no—
1495#103—731no—
1496#103—731no—
1497#103—731no—
1498#103C22×D7311yescharacteristic
1499#103C22×D7311yescharacteristic
1500#103C22×D7311yescharacteristic
1501#103C22×D7311yescharacteristic
1502#103C22×D7311yescharacteristic
1503#102—731no—
1504#102—731no—
1505#102—731no—
1506#102C22×D7311yescharacteristic
1507C22⋊C8—731no—
1508C22⋊C8—731no—
1509C22⋊C8—731no—
1510C22⋊C8—731no—
1511C22⋊C8—731no—
1512C22⋊C8—731no—
1513C22⋊C8C22×D7311yescharacteristic
1514C22⋊C8C22×D7311yescharacteristic
1515#97—731no—
1516#97—731no—
1517#97—731no—
1518#97C22×D7311yescharacteristic
1519C24—731no—
1520C24—731no—
1521C24—1461no—
1522#41—22no—
1523#41—41no—
1524#41—2921no—
1525#41—2924no—
1526#41—2921no—
1527#41—2924no—
1528#41—2921no—
1529#41—1462no—
1530#41—1462no—
1531#41—1462no—
1532C2×Q8—21no—
1533C2×Q8—21no—
1534C2×Q8—21no—
1535C2×Q8—22no—
1536C2×Q8—22no—
1537C2×Q8—22no—
1538C2×Q8—41no—
1539C2×Q8—41no—
1540C2×Q8—41no—
1541C2×Q8—2921no—
1542C2×Q8—2921no—
1543C2×Q8—2921no—
1544C2×Q8—2924no—
1545C2×Q8—2924no—
1546C2×Q8—2924no—
1547C2×Q8—2921no—
1548C2×Q8—2921no—
1549C2×Q8—2921no—
1550C2×Q8—2921no—
1551C2×Q8—2921no—
1552C2×Q8—2921no—
1553C2×Q8—2924no—
1554C2×Q8—2924no—
1555C2×Q8—2924no—
1556C2×Q8—2924no—
1557C2×Q8—2924no—
1558C2×Q8—2924no—
1559C2×Q8—734no—
1560C2×Q8—734no—
1561C2×Q8—731no—
1562C2×Q8—731no—
1563C2×Q8—731no—
1564C2×Q8—731no—
1565C2×Q8—731no—
1566C2×Q8—1462no—
1567C2×Q8—1462no—
1568C2×Q8—1462no—
1569C2×Q8—1461no—
1570C2×Q8—1461no—
1571C2×Q8—1461no—
1572C2×Q8—1461no—
1573C2×Q8—1461no—
1574C2×Q8—1461no—
1575C2×Q8—1461no—
1576C2×Q8—1461no—
1577C2×Q8—1461no—
1578C2×Q8—1461no—
1579C2×Q8—1461no—
1580C2×Q8—1462no—
1581C2×Q8—1462no—
1582C2×Q8—1462no—
1583C2×Q8—1462no—
1584C2×Q8—1462no—
1585C2×Q8—1462no—
1586C2×Q8—1462no—
1587C2×Q8—1462no—
1588C2×Q8—1462no—
1589C2×Q8—1462no—
1590C2×Q8—1462no—
1591C2×Q8—1462no—
1592C2×Q8—1462no—
1593C2×Q8—1462no—
1594C2×Q8—1461no—
1595C2×Q8—1461no—
1596C2×Q8—1461no—
1597C2×Q8C23×D7311yescharacteristic
1598C2×Q8C23×D7311yescharacteristic
1599C2×Q8C23×D7311yescharacteristic
1600C2×Q8C23×D7311yescharacteristic
1601C2×Q8C23×D7311yescharacteristic
1602C2×D4—21no—
1603C2×D4—21no—
1604C2×D4—2924no—
1605C2×D4—2924no—
1606C2×D4—731no—
1607C2×D4—731no—
1608C2×D4—731no—
1609C2×D4—731no—
1610C2×D4—1461no—
1611C2×D4—1461no—
1612C2×D4—1462no—
1613C2×D4—1462no—
1614C2×D4—1461no—
1615C2×D4—1464no—
1616C2×D4—1461no—
1617C2×D4—1461no—
1618C2×D4—1461no—
1619C2×D4—1461no—
1620C2×D4D4×D7311yescharacteristic
1621C2×D4C23×D7311yescharacteristic
1622C22×C4—21no—
1623C22×C4—21no—
1624C22×C4—21no—
1625C22×C4—21no—
1626C22×C4—2924no—
1627C22×C4—2924no—
1628C22×C4—2924no—
1629C22×C4—2924no—
1630C22×C4—731no—
1631C22×C4—731no—
1632C22×C4—731no—
1633C22×C4—731no—
1634C22×C4—731no—
1635C22×C4—731no—
1636C22×C4—731no—
1637C22×C4—731no—
1638C22×C4—731no—
1639C22×C4—731no—
1640C22×C4—731no—
1641C22×C4—1461no—
1642C22×C4—1461no—
1643C22×C4—1461no—
1644C22×C4—1461no—
1645C22×C4—1461no—
1646C22×C4—1461no—
1647C22×C4—1461no—
1648C22×C4—1461no—
1649C22×C4—1461no—
1650C22×C4—1461no—
1651C22×C4—1461no—
1652C22×C4—1461no—
1653C22×C4—1462no—
1654C22×C4—1462no—
1655C22×C4—1462no—
1656C22×C4—1462no—
1657C22×C4—1461no—
1658C22×C4—1461no—
1659C22×C4—1461no—
1660C22×C4—1461no—
1661C22×C4—1461no—
1662C22×C4—1461no—
1663C22×C4—1461no—
1664C22×C4C23×D7311yescharacteristic
1665C22×C4C23×D7311yescharacteristic
1666Q16—22no—
1667Q16—22no—
1668Q16—22no—
1669Q16—22no—
1670Q16—41no—
1671Q16—2921no—
1672Q16—2921no—
1673Q16—2921no—
1674Q16—734no—
1675Q16—734no—
1676Q16—734no—
1677Q16—1462no—
1678Q16—1462no—
1679Q16—1462no—
1680Q16—1462no—
1681Q16—1462no—
1682Q16—1462no—
1683Q16—1462no—
1684Q16—1462no—
1685Q16—1462no—
1686Q16—1462no—
1687Q16—1462no—
1688Q16—1462no—
1689Q16D4×D7314yescomplemented
1690SD16—22no—
1691SD16—22no—
1692SD16—41no—
1693SD16—2921no—
1694SD16—2921no—
1695SD16—2921no—
1696SD16—1462no—
1697SD16—1462no—
1698SD16—1462no—
1699SD16—1462no—
1700SD16—1462no—
1701SD16—1462no—
1702M16—22no—
1703M16—1462no—
1704M16—1462no—
1705M16—1462no—
1706C2×C8—22no—
1707C2×C8—731no—
1708C2×C8—734no—
1709C2×C8—731no—
1710C2×C8—731no—
1711C2×C8—731no—
1712C2×C8—1462no—
1713C2×C8—1462no—
1714C2×C8—1462no—
1715C2×C8—1462no—
1716C2×C8—1462no—
1717C2×C8—1462no—
1718C2×C8C23×D7311yescharacteristic
1719C2×C8C23×D7311yescharacteristic
1720C2×C8C23×D7311yescharacteristic
1721C2×C8C23×D7311yescharacteristic
1722C4⋊C4—21no—
1723C4⋊C4—21no—
1724C4⋊C4—21no—
1725C4⋊C4—21no—
1726C4⋊C4—21no—
1727C4⋊C4—21no—
1728C4⋊C4—21no—
1729C4⋊C4—731no—
1730C4⋊C4—731no—
1731C4⋊C4—731no—
1732C4⋊C4—731no—
1733C4⋊C4—731no—
1734C4⋊C4—1461no—
1735C4⋊C4—1461no—
1736C4⋊C4—1461no—
1737C4⋊C4—1461no—
1738C4⋊C4—1461no—
1739C4⋊C4—1461no—
1740C4⋊C4—1461no—
1741C4⋊C4—1461no—
1742C4⋊C4—1461no—
1743C4⋊C4—1461no—
1744C4⋊C4—1461no—
1745C4⋊C4—1461no—
1746C4⋊C4—1461no—
1747C4⋊C4—1461no—
1748C4⋊C4—1461no—
1749C4⋊C4—1461no—
1750C4⋊C4—1461no—
1751C4⋊C4—1461no—
1752C4⋊C4—1461no—
1753C4⋊C4—1461no—
1754C4⋊C4—1461no—
1755C4⋊C4—1461no—
1756C4⋊C4—1461no—
1757C4⋊C4D4×D7311yescharacteristic
1758C4⋊C4C23×D7311yescharacteristic
1759C4⋊C4C23×D7311yescharacteristic
1760C22⋊C4—21no—
1761C22⋊C4—21no—
1762C22⋊C4—21no—
1763C22⋊C4—21no—
1764C22⋊C4—21no—
1765C22⋊C4—21no—
1766C22⋊C4—731no—
1767C22⋊C4—731no—
1768C22⋊C4—731no—
1769C22⋊C4—731no—
1770C22⋊C4—731no—
1771C22⋊C4—731no—
1772C22⋊C4—1461no—
1773C22⋊C4—1461no—
1774C22⋊C4—1461no—
1775C22⋊C4—1461no—
1776C22⋊C4—1461no—
1777C22⋊C4—1461no—
1778C22⋊C4—1461no—
1779C22⋊C4—1461no—
1780C22⋊C4—1461no—
1781C22⋊C4—1461no—
1782C22⋊C4—1461no—
1783C22⋊C4—1461no—
1784C22⋊C4—1461no—
1785C22⋊C4—1461no—
1786C22⋊C4—1461no—
1787C22⋊C4—1461no—
1788C22⋊C4—1461no—
1789C22⋊C4—1461no—
1790C22⋊C4D4×D7311yescharacteristic
1791C22⋊C4D4×D7311yescharacteristic
1792C42—21no—
1793C42—21no—
1794C42—731no—
1795C42—731no—
1796C42—731no—
1797C42—1461no—
1798C42—1461no—
1799C42—1461no—
1800C42—1461no—
1801C42—1461no—
1802C42—1461no—
1803C42C23×D7311yescharacteristic
1804C23—21no—
1805C23—2922no—
1806C23—2922no—
1807C23—2922no—
1808C23—731no—
1809C23—734no—
1810C23—731no—
1811C23—731no—
1812C23—1462no—
1813C23—1462no—
1814C23—1462no—
1815C23—1462no—
1816C23—1462no—
1817C23—1461no—
1818C23C2×D4×D7311yescharacteristic
1819C23C2×D4×D7311yescharacteristic
1820Q8—21no—
1821Q8—21no—
1822Q8—21no—
1823Q8—21no—
1824Q8—21no—
1825Q8—21no—
1826Q8—21no—
1827Q8—21no—
1828Q8—42no—
1829Q8—42no—
1830Q8—42no—
1831Q8—2922no—
1832Q8—2922no—
1833Q8—2922no—
1834Q8—2922no—
1835Q8—2922no—
1836Q8—2922no—
1837Q8—2922no—
1838Q8—2922no—
1839Q8—2922no—
1840Q8—2922no—
1841Q8—2922no—
1842Q8—2922no—
1843Q8—732no—
1844Q8—732no—
1845Q8—1464no—
1846Q8—1464no—
1847Q8—1461no—
1848Q8—1461no—
1849Q8—1461no—
1850Q8—1461no—
1851Q8—1461no—
1852Q8—1461no—
1853Q8—1461no—
1854Q8—1461no—
1855Q8C2×D4×D7312yes—
1856Q8C2×D4×D7312yes—
1857D4—22no—
1858D4—21no—
1859D4—21no—
1860D4—42no—
1861D4—42no—
1862D4—2922no—
1863D4—2922no—
1864D4—2922no—
1865D4—2922no—
1866D4—2922no—
1867D4—2922no—
1868D4—2922no—
1869D4—1462no—
1870D4—1462no—
1871D4—1462no—
1872D4—1461no—
1873D4—1461no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—42no—
1886C2×C4—42no—
1887C2×C4—42no—
1888C2×C4—42no—
1889C2×C4—2922no—
1890C2×C4—2922no—
1891C2×C4—2922no—
1892C2×C4—2922no—
1893C2×C4—2922no—
1894C2×C4—2922no—
1895C2×C4—2922no—
1896C2×C4—2922no—
1897C2×C4—2922no—
1898C2×C4—2922no—
1899C2×C4—2922no—
1900C2×C4—2922no—
1901C2×C4—2922no—
1902C2×C4—2922no—
1903C2×C4—2922no—
1904C2×C4—2922no—
1905C2×C4—2922no—
1906C2×C4—731no—
1907C2×C4—732no—
1908C2×C4—732no—
1909C2×C4—731no—
1910C2×C4—731no—
1911C2×C4—731no—
1912C2×C4—731no—
1913C2×C4—1462no—
1914C2×C4—1462no—
1915C2×C4—1462no—
1916C2×C4—1464no—
1917C2×C4—1464no—
1918C2×C4—1462no—
1919C2×C4—1462no—
1920C2×C4—1462no—
1921C2×C4—1461no—
1922C2×C4—1461no—
1923C2×C4—1461no—
1924C2×C4—1461no—
1925C2×C4—1461no—
1926C2×C4—1462no—
1927C2×C4—1462no—
1928C2×C4—1461no—
1929C2×C4—1461no—
1930C2×C4—1461no—
1931C2×C4—1461no—
1932C2×C4—1461no—
1933C2×C4—1461no—
1934C2×C4C2×D4×D7311yescharacteristic
1935C2×C4C2×D4×D7311yescharacteristic
1936C2×C4C2×D4×D7311yescharacteristic
1937C2×C4C2×D4×D7311yescharacteristic
1938C2×C4C24×D7311yescharacteristic
1939C8—21no—
1940C8—21no—
1941C8—21no—
1942C8—732no—
1943C8—1461no—
1944C8—1461no—
1945C8—1461no—
1946C8C2×D4×D7312yes—
1947C22—21no—
1948C22—21no—
1949C22—21no—
1950C22—21no—
1951C22—21no—
1952C22—41no—
1953C22—41no—
1954C22—41no—
1955C22—2924no—
1956C22—2921no—
1957C22—2921no—
1958C22—2921no—
1959C22—5844no—
1960C22—732no—
1961C22—732no—
1962C22—732no—
1963C22—732no—
1964C22—1468no—
1965C22—1461no—
1966C22—1461no—
1967C22—1461no—
1968C22—1461no—
1969C22—1461no—
1970C22#137×D7312yescomplemented
1971C22C22×D4×D7311yescharacteristic
1972C4—21no—
1973C4—21no—
1974C4—22no—
1975C4—22no—
1976C4—21no—
1977C4—21no—
1978C4—41no—
1979C4—41no—
1980C4—41no—
1981C4—41no—
1982C4—41no—
1983C4—2921no—
1984C4—2921no—
1985C4—2921no—
1986C4—2921no—
1987C4—2921no—
1988C4—732no—
1989C4—1461no—
1990C4—1462no—
1991C4—1462no—
1992C4—1461no—
1993C4—1461no—
1994C4—1461no—
1995C4C22×D4×D7311yescharacteristic
1996C4H(5,𝔽2)×D7311yescharacteristic
1997C2—22no—
1998C2—41no—
1999C2—81no—
2000C2—2921no—
2001C2—5841no—
2002C2—734no—
2003C2—1462no—
2004C2D42×D7311yescharacteristic
2005C2C2×#137×D7311yescharacteristic
2006C2#578×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3270C2
socleC22×C73C23×D4
prime radical#548×D73C2
hypercenter#3270D73
hypocenterC73C2×#3270
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#137×D73C2semidirect
2. C22×Q16×D73C2semidirect
3. D4×Q8×D73C2semidirect
5. #22621508C2semidirect
6. #22621507C2semidirect
7. #22621506C2semidirect
8. #22621505C2semidirect
9. #22621504C2semidirect
10. #22621503C2semidirect
11. #22621502C2semidirect
12. #22621501C2semidirect
13. #22621500C2semidirect
14. #22621499C2semidirect
15. #22621498C2semidirect
16. #22621497C2semidirect
17. #22621496C2semidirect
18. #22621495C2semidirect
19. #22621494C2semidirect
20. #497×D73C2semidirect
21. #470×D73C2semidirect
22. #465×D73C2semidirect
23. #464×D73C2semidirect
24. #462×D73C2semidirect
25. #452×D73C2semidirect
26. #451×D73C2semidirect
27. #451×D73C2semidirect
28. #448×D73C2semidirect
29. #441×D73C2semidirect
30. #435×D73C2semidirect
31. C73×#3270C2semidirect
36. C2×#14556624C22semidirect
37. C2×#14556623C22semidirect
38. C2×#14556623C22semidirect
39. C2×#14556622C22semidirect
40. C2×#14556621C22semidirect
41. C2×#14556620C22semidirect
42. C2×#14556620C22semidirect
44. C22×Dic292C22semidirect
45. C22×#11924018C22semidirect
46. C22×#11924018C22semidirect
54. C2×Q16×D73C22semidirect
55. C2×Q16×D73C22semidirect
56. C2×Q16×D73C22semidirect
57. C2×Q16×D73C22semidirect
63. Q8×D292C22semidirect
65. D4×Dic146C22semidirect
67. #17989252C22semidirect
68. Q8×C22⋊D73C22semidirect
69. Q8×C22⋊D73C22semidirect
72. #17989250C22semidirect
73. #17989250C22semidirect
102. #17988982C22semidirect
103. #17988981C22semidirect
104. #17988980C22semidirect
105. #17988980C22semidirect
106. #17988979C22semidirect
107. #17988978C22semidirect
108. #17988978C22semidirect
109. #17988846C22semidirect
110. #17988845C22semidirect
111. #17988844C22semidirect
112. #17988844C22semidirect
113. #17988843C22semidirect
114. #17988843C22semidirect
115. #17988842C22semidirect
116. #17988819C22semidirect
117. #17988818C22semidirect
118. #17988817C22semidirect
119. #17988816C22semidirect
120. #17988815C22semidirect
121. #17988814C22semidirect
122. #17988813C22semidirect
123. #17988812C22semidirect
124. #17988811C22semidirect
125. #17988810C22semidirect
126. #17988809C22semidirect
127. #17988808C22semidirect
128. #17988807C22semidirect
129. #17988806C22semidirect
130. #17988798C22semidirect
131. #17988797C22semidirect
132. #17988796C22semidirect
133. #17988796C22semidirect
134. #17988795C22semidirect
135. #17988795C22semidirect
136. #17988794C22semidirect
137. #17988752C22semidirect
138. #17988751C22semidirect
139. #17988750C22semidirect
140. #17988749C22semidirect
141. #17988748C22semidirect
142. #17988747C22semidirect
143. #17988746C22semidirect
144. #17988745C22semidirect
145. #17988745C22semidirect
146. #17988744C22semidirect
147. #17988744C22semidirect
148. #17988744C22semidirect
149. #17988744C22semidirect
150. #17988743C22semidirect
151. #17988743C22semidirect
152. #17988742C22semidirect
153. #17988742C22semidirect
154. #17988741C22semidirect
155. #17988741C22semidirect
156. #17988741C22semidirect
157. #17988741C22semidirect
158. #17988728C22semidirect
159. #17988727C22semidirect
160. #17988727C22semidirect
161. #17988726C22semidirect
162. #17988725C22semidirect
163. #17988724C22semidirect
164. #17988724C22semidirect
165. #17988695C22semidirect
166. #17988694C22semidirect
167. #17988693C22semidirect
168. #17988692C22semidirect
169. #17988692C22semidirect
170. #17988691C22semidirect
171. #17988691C22semidirect
172. #17988661C22semidirect
173. #17988660C22semidirect
174. #17988659C22semidirect
175. #17988658C22semidirect
176. #17988657C22semidirect
177. #17988656C22semidirect
178. #17988655C22semidirect
190. C2×#137×C73C22semidirect
191. C22×Q16×C73C22semidirect
192. D4×Q8×C73C22semidirect
194. #497×C73C22semidirect
195. #470×C73C22semidirect
196. #465×C73C22semidirect
197. #464×C73C22semidirect
198. #462×C73C22semidirect
199. #452×C73C22semidirect
200. #451×C73C22semidirect
201. #451×C73C22semidirect
202. #448×C73C22semidirect
203. #441×C73C22semidirect
204. #435×C73C22semidirect
288. Q16×D73D4semidirect
641. Dic292C2×D4semidirect
652. #11924018C2×D4semidirect
653. #11924018C2×D4semidirect
769. Q16×C73C2×D4semidirect
812. C22×D73#137semidirect
951. C22×C73C2×#137semidirect
966. C2×D73C2×#137semidirect
1003. D73#3270direct (N × H)
1023. #3270D73direct (N × H)
1035. C73C2×#3270semidirect
1048. C2×#137C2×D73semidirect
1063. C22×Q16C2×D73semidirect
1080. D4×Q8C2×D73semidirect
1117. #497C2×D73semidirect
1125. #470C2×D73semidirect
1133. #465C2×D73semidirect
1141. #464C2×D73semidirect
1149. #462C2×D73semidirect
1157. #452C2×D73semidirect
1172. #451C2×D73semidirect
1173. #451C2×D73semidirect
1181. #448C2×D73semidirect
1189. #441C2×D73semidirect
1197. #435C2×D73semidirect
1689. Q16D4×D73semidirect
1970. C22#137×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#137×D732
C22×Q16×D732
D4×Q8×D732
#548×D732
#226215082
#226215072
#226215062
#226215052
#226215042
#226215032
#226215022
#226215012
#226215002
#226214992
#226214982
#226214972
#226214962
#226214952
#226214942
#497×D732
#470×D732
#465×D732
#464×D732
#462×D732
#452×D732
#451×D732
#448×D732
#441×D732
#435×D732
C73×#32702
C2×#327073